Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze66.0ms (1.1%)

Memory

-2.8MiB live, 67.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (18%)

Memory

9.3MiB live, 1 002.9MiB allocated

Samples

826.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 471.0ms

ival-add: 268.0ms (56.9% of total)

ival-mult: 131.0ms (27.8% of total)

ival-div: 63.0ms (13.4% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain69.0ms (1.1%)

Memory

-21.9MiB live, 137.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
34	-	-	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	-	`(+.f64 y z)`
0	-	-	`y`
0	-	-	`z`
0	-	-	`(*.f64 x (+.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	25	0
↳	`(*.f64 x (+.f64 y z))`	overflow	51
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	9	0
↳	`(*.f64 x (+.f64 y z))`	underflow	9

Confusion

	Predicted +	Predicted -
+	34	0
-	0	222

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	0
-	0	0	222

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	222
1	34

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (28.8% of total)

ival-add: 3.0ms (28.8% of total)

ival-mult: 3.0ms (28.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess328.0ms (5.4%)

Memory

27.5MiB live, 184.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	106	66
2	281	64
3	934	64
4	2669	63
5	5010	63
6	5760	63
7	5861	63
8	5957	63
9	6086	63
10	6221	63
0	6	7
0	9	7
1	19	7
2	24	7
3	25	7
4	33	7
5	35	7
6	39	7
7	46	7
8	51	7
9	160	7
10	553	7
11	2370	7
12	3773	7
13	3925	7
14	4010	7
15	4111	7
16	4246	7
17	4406	7
18	6021	7
19	7046	7
0	8041	6

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 y (/.f64 x z) x)

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.5%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify103.0ms (1.7%)

Memory

-12.9MiB live, 98.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y z)
cost-diff	0	(*.f64 x (+.f64 y z))
cost-diff	128	(/.f64 (*.f64 x (+.f64 y z)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	24	18
3	25	18
4	33	18
5	35	18
6	39	18
7	46	18
8	51	18
9	160	18
10	553	18
11	2370	18
12	3773	18
13	3925	18
14	4010	18
15	4111	18
16	4246	18
17	4406	18
18	6021	18
19	7046	18
0	8041	17

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
x
(+.f64 y z)
y
z

localize16.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0.0234375	(*.f64 x (+.f64 y z))
accuracy	8.008676304546317	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (39.3% of total)

ival-mult: 2.0ms (39.3% of total)

ival-add: 1.0ms (19.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory

-25.3MiB live, 20.6MiB allocated

Counts

3 → 22

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)

Outputs
(/ (* x (+ y z)) z)
(* x (+ y z))
x
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
z
(+ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ x (/ (* x y) z)))
(* z (+ 1 (/ y z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	y	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	x	@	inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	z	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	x	@	0	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))

simplify165.0ms (2.7%)

Memory

0.3MiB live, 115.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	94
1	171	94
2	482	94
3	1325	94
4	2612	94
5	3108	94
6	3461	94
7	3899	94
8	4089	94
9	4132	94
10	6029	94
11	6805	94
12	7027	94
13	7427	94
14	7439	94
15	7448	94
0	8118	89

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 19

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(* x (+ y z))
x
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
z
(+ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ x (/ (* x y) z)))
(* z (+ 1 (/ y z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Outputs
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
z
(+ y z)
(+.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)

rewrite231.0ms (3.8%)

Memory

-22.4MiB live, 196.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 379

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)

Outputs
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (+.f64 z y) (-.f64 z y))) #s(literal -1 binary64)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (neg.f64 (+.f64 z y)) (-.f64 y z))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
(.f64 (pow.f64 (/.f64 z (.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 y z)))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z x) (-.f64 (.f64 z x) (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (fma.f64 (neg.f64 z) z (.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) (+.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 z y))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(*.f64 (/.f64 (+.f64 z y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 z y) z))
(.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (+.f64 z y))
(.f64 (neg.f64 x) (.f64 (+.f64 z y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) (+.f64 z y)))
(*.f64 (neg.f64 (+.f64 z y)) (/.f64 (neg.f64 x) z))
(.f64 (neg.f64 (+.f64 z y)) (.f64 x (/.f64 #s(literal -1 binary64) z)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)))
(*.f64 (/.f64 (+.f64 z y) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 z y) z) x)
(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (.f64 (+.f64 z y) x) #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (+.f64 z y) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z y) x) z))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)))
(.f64 (.f64 (neg.f64 x) (+.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 z y) x) (pow.f64 z #s(literal -1 binary64)))
(.f64 (+.f64 z y) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (+.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (+.f64 z y) z))
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 (+.f64 z y) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 (+.f64 z y) x)) (/.f64 z (*.f64 (+.f64 z y) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) z) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z) (fma.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64)))) (.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64)))) (.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) (-.f64 (.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x)) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x))) (.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x))))))
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eval51.0ms (0.8%)

Memory: 30.2MiB live, 67.5MiB allocated
Compiler: Compiled 8 414 to 1 306 computations (84.5% saved)

prune17.0ms (0.3%)

Memory

-14.5MiB live, 22.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	379	6	385
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	380	6	386

Accuracy

100.0%

Counts

386 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(/.f64 (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 y z))) (.f64 z (*.f64 x (-.f64 y z))))
▶	38.9%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	50.6%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	95.5%	(/.f64 x (/.f64 z (+.f64 z y)))
▶	80.7%	(*.f64 (/.f64 x z) (+.f64 z y))
▶	95.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 138 to 94 computations (31.9% saved)

simplify125.0ms (2%)

Memory

18.6MiB live, 137.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 x z)
cost-diff	128	(*.f64 (/.f64 x z) (+.f64 z y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) x x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 z x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 z (+.f64 z y))
cost-diff	512	(/.f64 x (/.f64 z (+.f64 z y)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	111
0	32	112
1	55	112
2	68	112
3	76	108
4	77	108
5	194	108
6	648	108
7	2791	108
8	3863	108
9	4750	108
10	4831	108
11	4916	108
12	5021	108
13	5143	108
14	6833	108
0	8147	108

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
x
(/.f64 z (+.f64 z y))
z
(+.f64 z y)
y
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
y
x
z
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
y
z
x
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 x z)
x
z
(+.f64 z y)
y

Outputs
(/.f64 x (/.f64 z (+.f64 z y)))
(fma.f64 (/.f64 y z) x x)
x
(/.f64 z (+.f64 z y))
(/.f64 z (+.f64 y z))
z
(+.f64 z y)
(+.f64 y z)
y
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
y
x
z
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
y
z
x
(*.f64 (/.f64 x z) (+.f64 z y))
(fma.f64 (/.f64 y z) x x)
(/.f64 x z)
x
z
(+.f64 z y)
(+.f64 y z)
y

localize218.0ms (3.6%)

Memory

-35.6MiB live, 126.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x z)
accuracy	0	(+.f64 z y)
accuracy	12.353388432383179	(*.f64 (/.f64 x z) (+.f64 z y))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	3.1035211242197005	(fma.f64 (/.f64 y z) x x)
accuracy	0	(*.f64 z x)
accuracy	8.008676304546317	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	31.593910160413213	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0	(*.f64 y x)
accuracy	8.008676304546317	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	28.50982622307269	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(+.f64 z y)
accuracy	0.015625	(/.f64 z (+.f64 z y))
accuracy	2.876145573267248	(/.f64 x (/.f64 z (+.f64 z y)))

Samples

194.0ms

256×

valid

Compiler

Compiled 202 to 38 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 9.0ms (42.5% of total)

ival-div: 8.0ms (37.8% of total)

ival-add: 4.0ms (18.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

32.4MiB live, 32.4MiB allocated

Counts

14 → 44

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
(/.f64 z (+.f64 z y))
(+.f64 z y)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 x z)

Outputs
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x y)
(* x z)
(* x (+ 1 (/ y z)))
(/ x z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ (* x y) (* x z))
(/ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms	x	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms	z	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms	y	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms	y	@	inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))

simplify173.0ms (2.8%)

Memory

6.9MiB live, 122.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	394
1	497	378
2	1318	354
3	4817	352
0	8313	332

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 41

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x y)
(* x z)
(* x (+ 1 (/ y z)))
(/ x z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ (* x y) (* x z))
(/ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))

Outputs
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(* x (+ y z))
(*.f64 (+.f64 y z) x)
(* x y)
(*.f64 y x)
(* x z)
(*.f64 z x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 x z) y x)
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 x z) y x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
z
(+ y z)
(+.f64 y z)
(+ (* x y) (* x z))
(*.f64 (+.f64 y z) x)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 y z) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) y x)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y z) x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) z) z (/.f64 (-.f64 z (.f64 (/.f64 z y) z)) y))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (.f64 y y))) z (/.f64 #s(literal 1 binary64) y)) z)
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 y z) x)
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 y z) x)

rewrite285.0ms (4.7%)

Memory

-16.6MiB live, 249.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	32	95
1	127	95
2	877	91
0	8490	91

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

14 → 1 659

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
(/.f64 z (+.f64 z y))
(+.f64 z y)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 x z)

Outputs
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x))) (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (/.f64 y z) x x))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 4 binary64)) (.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 y z))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (*.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (*.f64 y (-.f64 y z))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 y z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 y z)) (-.f64 (.f64 y (-.f64 y z)) (*.f64 z z)))))
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(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 y z) x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z (+.f64 y z)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) (.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)))
(+.f64 (.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)) (.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)))
(+.f64 (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)) x)
(+.f64 (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)) (.f64 (/.f64 x z) y))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x)))))
(+.f64 (.f64 (/.f64 x z) y) (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(+.f64 (*.f64 (/.f64 x z) y) x)
(+.f64 x (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(+.f64 x (*.f64 (/.f64 x z) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))

eval213.0ms (3.5%)

Memory: 40.6MiB live, 272.9MiB allocated
Compiler: Compiled 18 110 to 2 223 computations (87.7% saved)

prune94.0ms (1.5%)

Memory

-21.7MiB live, 54.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	927	5	932
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	931	7	938

Accuracy

100.0%

Counts

938 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.9%	(fma.f64 (/.f64 x z) y x)
▶	80.5%	(/.f64 (+.f64 y z) (/.f64 z x))
✓	50.6%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	49.2%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
▶	48.0%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	95.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	49.1%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 117 to 89 computations (23.9% saved)

simplify241.0ms (3.9%)

Memory

-22.1MiB live, 120.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z x)
cost-diff	0	(+.f64 y z)
cost-diff	512	(/.f64 (+.f64 y z) (/.f64 z x))
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (/ z (+ z y)) (/.f64 z y))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 (/.f64 x z) y)
cost-diff	0	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
cost-diff	0	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) y x)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	96
0	28	95
1	39	95
2	55	95
3	64	95
4	68	94
5	75	94
6	75	94
7	218	94
8	799	94
9	2775	94
10	3235	94
11	3711	94
12	3762	94
13	3802	94
14	3845	94
15	4759	94
16	6025	94
17	7570	94
18	7891	94
0	8022	94

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
x
z
y
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
x
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
x
#s(approx (/ z (+ z y)) (/.f64 z y))
(/.f64 z y)
z
y
(/.f64 (+.f64 y z) (/.f64 z x))
(+.f64 y z)
y
z
(/.f64 z x)
x

Outputs
(fma.f64 (/.f64 x z) y x)
(fma.f64 y (/.f64 x z) x)
(/.f64 x z)
x
z
y
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
x
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 x z)
x
z
y
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
x
#s(approx (/ z (+ z y)) (/.f64 z y))
(/.f64 z y)
z
y
(/.f64 (+.f64 y z) (/.f64 z x))
(fma.f64 y (/.f64 x z) x)
(+.f64 y z)
y
z
(/.f64 z x)
x

localize67.0ms (1.1%)

Memory

24.7MiB live, 63.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z x)
accuracy	0	(+.f64 y z)
accuracy	12.501929816359096	(/.f64 (+.f64 y z) (/.f64 z x))
accuracy	0	(/.f64 z y)
accuracy	2.876145573267248	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy	30.043406719056264	#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy	0	(/.f64 x z)
accuracy	7.478059802007672	(*.f64 (/.f64 x z) y)
accuracy	29.670979206569136	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
accuracy	2.876145573267248	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
accuracy	33.18155493387688	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
accuracy	0	(/.f64 x z)
accuracy	5.79411711815232	(fma.f64 (/.f64 x z) y x)

Samples

57.0ms

256×

valid

Compiler

Compiled 177 to 35 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 39.0ms (87.6% of total)

ival-add: 3.0ms (6.7% of total)

ival-mult: 2.0ms (4.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series63.0ms (1%)

Memory

-7.8MiB live, 39.8MiB allocated

Counts

12 → 36

Calls

Call 1

Inputs
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
#s(approx (/ z (+ z y)) (/.f64 z y))
(/.f64 z y)
(/.f64 (+.f64 y z) (/.f64 z x))
(+.f64 y z)
(/.f64 z x)

Outputs
(* x (+ 1 (/ y z)))
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ z x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
z
(+ y z)
(* y (+ (/ x y) (/ x z)))
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	x	@	-inf	((+ (* (/ x z) y) x) (/ x z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (* (/ x z) y) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (+ y z) (/ z x)) (+ y z) (/ z x))
4.0ms	z	@	-inf	((+ (* (/ x z) y) x) (/ x z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (* (/ x z) y) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (+ y z) (/ z x)) (+ y z) (/ z x))
1.0ms	z	@	0	((+ (* (/ x z) y) x) (/ x z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (* (/ x z) y) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (+ y z) (/ z x)) (+ y z) (/ z x))
1.0ms	z	@	inf	((+ (* (/ x z) y) x) (/ x z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (* (/ x z) y) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (+ y z) (/ z x)) (+ y z) (/ z x))
1.0ms	x	@	0	((+ (* (/ x z) y) x) (/ x z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (* (/ x z) y) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (+ y z) (/ z x)) (+ y z) (/ z x))

simplify194.0ms (3.2%)

Memory

-5.4MiB live, 150.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	358
1	438	342
2	1118	318
3	4184	316
0	8561	296

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* x (+ 1 (/ y z)))
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ z x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
z
(+ y z)
(* y (+ (/ x y) (/ x z)))
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Outputs
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 x z) y x)
(/ x z)
(/.f64 x z)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ z x)
(/.f64 z x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 x z) y x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(/ z y)
(/.f64 z y)
z
(+ y z)
(+.f64 y z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) y x)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) z) z (/.f64 (-.f64 z (.f64 (/.f64 z y) z)) y))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (.f64 y y))) z (/.f64 #s(literal 1 binary64) y)) z)
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(* z (+ 1 (/ y z)))
(+.f64 y z)
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)

rewrite156.0ms (2.6%)

Memory

18.7MiB live, 126.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	79
0	28	79
1	121	79
2	855	79
0	8322	79

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

12 → 664

Calls

Call 1

Inputs
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
#s(approx (/ z (+ z y)) (/.f64 z y))
(/.f64 z y)
(/.f64 (+.f64 y z) (/.f64 z x))
(+.f64 y z)
(/.f64 z x)

Outputs
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 y (/.f64 x z) x) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 y (/.f64 x z))) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 y (/.f64 x z))) x)))
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(/.f64 (.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 z (/.f64 z (-.f64 z y)))) (.f64 (.f64 y (/.f64 y (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))))) (fma.f64 z (/.f64 z (-.f64 z y)) (*.f64 y (/.f64 y (-.f64 z y)))))
(/.f64 (-.f64 (.f64 (.f64 y (/.f64 y (-.f64 y z))) (.f64 y (/.f64 y (-.f64 y z)))) (.f64 (.f64 z (/.f64 z (-.f64 y z))) (.f64 z (/.f64 z (-.f64 y z))))) (fma.f64 y (/.f64 y (-.f64 y z)) (*.f64 z (/.f64 z (-.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (/.f64 z (-.f64 z y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 z y))) #s(literal 3 binary64))) (fma.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 z (/.f64 z (-.f64 z y))) (fma.f64 (.f64 y (/.f64 y (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))) (.f64 (.f64 z (/.f64 z (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y z))) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 z (-.f64 y z))) #s(literal 3 binary64))) (fma.f64 (.f64 y (/.f64 y (-.f64 y z))) (.f64 y (/.f64 y (-.f64 y z))) (fma.f64 (.f64 z (/.f64 z (-.f64 y z))) (.f64 z (/.f64 z (-.f64 y z))) (.f64 (.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 z y) z (*.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 z y)) (.f64 (-.f64 z y) (.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y)))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y z)) (.f64 (-.f64 y z) (.f64 z z))) (*.f64 (-.f64 y z) (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (-.f64 y z) (fma.f64 y y (.f64 z z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 z y) (fma.f64 y y (.f64 z z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 z y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (-.f64 y z) (fma.f64 (.f64 z z) (fma.f64 y y (*.f64 z z)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y z)))
(/.f64 (fma.f64 (neg.f64 y) y (.f64 z z)) (.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (-.f64 z y))
(/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (-.f64 y z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) z (.f64 y y))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (*.f64 y y)))
(/.f64 (-.f64 (neg.f64 y) z) #s(literal -1 binary64))
(/.f64 (+.f64 y z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y z) #s(literal -1 binary64)))
(neg.f64 (-.f64 (neg.f64 y) z))
(fma.f64 (/.f64 (.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (.f64 z z)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (/.f64 (.f64 z z) (fma.f64 (neg.f64 y) y (.f64 z z))) (+.f64 y z) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (.f64 z z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 z) z (.f64 y y))) (+.f64 y z) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) z)
(fma.f64 #s(literal -1 binary64) (neg.f64 z) y)
(fma.f64 (.f64 z z) (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 (.f64 z (/.f64 z (-.f64 y z)))))
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 y (/.f64 y (-.f64 y z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))
(fma.f64 y #s(literal 1 binary64) z)
(fma.f64 z (/.f64 z (-.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 z #s(literal 1 binary64) y)
(-.f64 (/.f64 (.f64 z (/.f64 z (-.f64 z y))) #s(literal 1 binary64)) (/.f64 (.f64 y (/.f64 y (-.f64 z y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 y (/.f64 y (-.f64 y z))) #s(literal 1 binary64)) (/.f64 (.f64 z (/.f64 z (-.f64 y z))) #s(literal 1 binary64)))
(-.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))))
(-.f64 (.f64 y (/.f64 y (-.f64 y z))) (.f64 z (/.f64 z (-.f64 y z))))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) z))
(+.f64 (.f64 z (/.f64 z (-.f64 z y))) (neg.f64 (.f64 y (/.f64 y (-.f64 z y)))))
(+.f64 (.f64 y (/.f64 y (-.f64 y z))) (neg.f64 (.f64 z (/.f64 z (-.f64 y z)))))
(+.f64 y z)
(+.f64 z y)
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) z)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) z)
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) z)
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 z (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 z (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64))
(/.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 z) (neg.f64 x))
(/.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 z x)
(neg.f64 (/.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 z) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 z) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64)))

eval99.0ms (1.6%)

Memory: -24.4MiB live, 185.1MiB allocated
Compiler: Compiled 12 463 to 1 697 computations (86.4% saved)

prune31.0ms (0.5%)

Memory

-10.3MiB live, 29.1MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	717	2	719
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	718	8	726

Accuracy

100.0%

Counts

726 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.9%	(fma.f64 (/.f64 x z) y x)
✓	50.6%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	49.2%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	48.0%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	95.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	49.1%	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
▶	48.8%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
✓	49.1%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 90 to 65 computations (27.8% saved)

simplify184.0ms (3%)

Memory

18.0MiB live, 132.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z x)
cost-diff	0	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
cost-diff	384	(/.f64 y (/.f64 z x))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) x)
cost-diff	0	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	16	48
1	22	48
2	37	48
3	51	48
4	54	48
5	60	48
6	65	48
7	190	48
8	668	48
9	3004	48
10	3409	48
11	4162	48
12	4208	48
13	4250	48
14	4293	48
15	5851	48
16	6305	48
17	6982	48
18	7220	48
19	7817	48
0	8056	46

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x

Outputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
#s(approx (/ x (/ z (+ z y))) (*.f64 y (/.f64 x z)))
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 y z)
y
z
x
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
#s(approx (/ x (/ z (+ z y))) (*.f64 y (/.f64 x z)))
(/.f64 y (/.f64 z x))
(*.f64 y (/.f64 x z))
y
(/.f64 z x)
z
x

localize52.0ms (0.9%)

Memory

21.1MiB live, 59.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z x)
accuracy	7.245627009509552	(/.f64 y (/.f64 z x))
accuracy	29.670979206569136	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
accuracy	0	(/.f64 y z)
accuracy	5.124164582916759	(*.f64 (/.f64 y z) x)
accuracy	29.670979206569136	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))

Samples

46.0ms

256×

valid

Compiler

Compiled 86 to 24 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 8.0ms (69.4% of total)

ival-add: 2.0ms (17.3% of total)

ival-mult: 2.0ms (17.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory

-15.9MiB live, 18.3MiB allocated

Counts

6 → 9

Calls

Call 1

Inputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 y (/.f64 z x))
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(/.f64 z x)

Outputs
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ z x)
x
(+ x (/ (* x y) z))
(/ y z)
(* y (+ (/ x y) (/ x z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (+ (* x y) (* x z)) z)

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	((/ x (/ z (+ z y))) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ x (/ z (+ z y))) (/ z x))
1.0ms	z	@	-inf	((/ x (/ z (+ z y))) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ x (/ z (+ z y))) (/ z x))
1.0ms	x	@	-inf	((/ x (/ z (+ z y))) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ x (/ z (+ z y))) (/ z x))
1.0ms	y	@	-inf	((/ x (/ z (+ z y))) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ x (/ z (+ z y))) (/ z x))
1.0ms	x	@	0	((/ x (/ z (+ z y))) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ x (/ z (+ z y))) (/ z x))

simplify172.0ms (2.8%)

Memory

-19.7MiB live, 108.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	47
1	62	47
2	156	47
3	282	47
4	663	47
5	2347	47
6	3930	47
7	5538	47
8	7006	47
9	7381	47
10	7400	47
11	7416	47
12	7496	47
0	8027	42

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ z x)
x
(+ x (/ (* x y) z))
(/ y z)
(* y (+ (/ x y) (/ x z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (+ (* x y) (* x z)) z)

Outputs
(/ (* x (+ y z)) z)
(fma.f64 x (/.f64 y z) x)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ z x)
(/.f64 z x)
x
(+ x (/ (* x y) z))
(fma.f64 x (/.f64 y z) x)
(/ y z)
(/.f64 y z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 x (/.f64 y z) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 x (/.f64 y z) x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 x (/.f64 y z) x)

rewrite189.0ms (3.1%)

Memory

37.3MiB live, 224.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	16	42
1	66	42
2	408	42
3	3698	42
0	10001	40

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 245

Calls

Call 1

Inputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 y (/.f64 z x))
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(/.f64 z x)

Outputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(.f64 (.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) x)
(.f64 (.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 x))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64))) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (/.f64 (neg.f64 x) z))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x z)) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (/.f64 x z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 x z) #s(literal -1 binary64))) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 (/.f64 x z) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64))) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) (neg.f64 z))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) z)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 z) (neg.f64 x))
(/.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 z x)
(neg.f64 (/.f64 (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 z (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 z (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) (.f64 (log.f64 z) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 z x)))

eval18.0ms (0.3%)

Memory: 7.5MiB live, 45.9MiB allocated
Compiler: Compiled 3 053 to 603 computations (80.2% saved)

prune44.0ms (0.7%)

Memory

-28.0MiB live, 31.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	167	8	175

Accuracy

100.0%

Counts

175 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.9%	(fma.f64 (/.f64 x z) y x)
✓	50.6%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	49.2%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	48.0%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	95.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	49.1%	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
✓	48.8%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
✓	49.1%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 238 to 112 computations (52.9% saved)

regimes28.0ms (0.5%)

Memory

1.3MiB live, 40.7MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 x z) y x)
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 (*.f64 x (+.f64 y z)) z)
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
(/.f64 x (/.f64 z (+.f64 z y)))
(/.f64 (+.f64 y z) (/.f64 z x))
(/.f64 (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 y z))) (.f64 z (*.f64 x (-.f64 y z))))

Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(/.f64 (*.f64 x (+.f64 y z)) z)

Calls

4 calls:

13.0ms	z
5.0ms	x
5.0ms	y
4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
97.3%	2	`x`
97.4%	2	`y`
95.5%	1	`z`
95.5%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes8.0ms (0.1%)

Memory

-21.6MiB live, 17.4MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 x z) y x)
(*.f64 (/.f64 x z) (+.f64 z y))

Outputs
(fma.f64 (/.f64 x z) y x)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
97.3%	2	`x`
95.2%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes11.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	z
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
95.2%	1	`y`
95.2%	1	`z`
95.2%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
95.2%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes12.0ms (0.2%)

Memory

-13.4MiB live, 25.8MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)

Outputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

Calls

4 calls:

4.0ms	z
2.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
2.0ms	y

Results

Accuracy	Segments	Branch
66.1%	7	`x`
77.2%	3	`y`
78.3%	3	`z`
70.4%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes2.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))

Outputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.4%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

-26.6MiB live, 15.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

Outputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

Calls

4 calls:

1.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
48.0%	1	`x`
48.0%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
48.0%	1	`y`
48.0%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch11.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.83511063315189e+88	2.3077545444114135e+92

Samples

5.0ms

128×

valid

Compiler

Compiled 178 to 148 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (40.2% of total)

ival-add: 1.0ms (40.2% of total)

ival-mult: 1.0ms (40.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.013369389277413e-57	3.4215732232335956e-57

Samples

3.0ms

80×

valid

Compiler

Compiled 110 to 92 computations (16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (64.6% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Memory

-5.9MiB live, 33.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.7744320073180012e+26	4.4012785478322875e+29
9.0ms	-3.0369199121734134e+58	-4.447253375210109e+57

Samples

9.0ms

224×

valid

Compiler

Compiled 290 to 264 computations (9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (23% of total)

ival-add: 1.0ms (23% of total)

ival-mult: 1.0ms (23% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.3%)

Memory

-18.6MiB live, 20.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7744320073180012e+26	4.4012785478322875e+29
15.0ms	-1.7824191890366904e+37	-2.999247204082362e+28

Samples

10.0ms

144×

valid

Compiler

Compiled 384 to 335 computations (12.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (34.2% of total)

ival-add: 1.0ms (34.2% of total)

ival-mult: 1.0ms (34.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify57.0ms (0.9%)

Memory

6.5MiB live, 46.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	148
1	48	148

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 62999999999999998680046586094941882792304004167895401778432285430755617831034469712343859200 binary64)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (/.f64 (*.f64 x (+.f64 y z)) z))
(if (<=.f64 x #s(literal 6007280020246507/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (fma.f64 (/.f64 x z) y x) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 z #s(literal -4499999999999999956223256724710725819006078298909327753216 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 320000000000000028991029248 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -74999999999999997972909654016 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 320000000000000028991029248 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 y #s(literal 62999999999999998680046586094941882792304004167895401778432285430755617831034469712343859200 binary64)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (/.f64 (*.f64 x (+.f64 y z)) z))
(if (<=.f64 y #s(literal 62999999999999998680046586094941882792304004167895401778432285430755617831034469712343859200 binary64)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (/.f64 (*.f64 (+.f64 z y) x) z))
(if (<=.f64 x #s(literal 6007280020246507/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (fma.f64 (/.f64 x z) y x) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 z #s(literal -4499999999999999956223256724710725819006078298909327753216 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 320000000000000028991029248 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -4499999999999999956223256724710725819006078298909327753216 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 320000000000000028991029248 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -74999999999999997972909654016 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 320000000000000028991029248 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

soundness1.0s (17.1%)

Memory

-12.8MiB live, 583.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15
0	50	94
1	171	94
2	482	94
3	1325	94
4	2612	94
5	3108	94
6	3461	94
7	3899	94
8	4089	94
9	4132	94
10	6029	94
11	6805	94
12	7027	94
13	7427	94
14	7439	94
15	7448	94
0	8118	89
0	158	394
1	497	378
2	1318	354
3	4817	352
0	8313	332
0	20	94
0	32	95
1	127	95
2	877	91
0	8490	91

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 303 to 144 computations (52.5% saved)

preprocess58.0ms (0.9%)

Memory: 41.4MiB live, 118.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 374 to 136 computations (63.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze66.0ms (1.1%)

sample1.1s (18%)

explain69.0ms (1.1%)

preprocess328.0ms (5.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify103.0ms (1.7%)

localize16.0ms (0.3%)

series22.0ms (0.4%)

simplify165.0ms (2.7%)

rewrite231.0ms (3.8%)

eval51.0ms (0.8%)

prune17.0ms (0.3%)

simplify125.0ms (2%)

localize218.0ms (3.6%)

series16.0ms (0.3%)

simplify173.0ms (2.8%)

rewrite285.0ms (4.7%)

eval213.0ms (3.5%)

prune94.0ms (1.5%)

simplify241.0ms (3.9%)

localize67.0ms (1.1%)

series63.0ms (1%)

simplify194.0ms (3.2%)

rewrite156.0ms (2.6%)

eval99.0ms (1.6%)

prune31.0ms (0.5%)

simplify184.0ms (3%)

localize52.0ms (0.9%)

series30.0ms (0.5%)

simplify172.0ms (2.8%)

rewrite189.0ms (3.1%)

eval18.0ms (0.3%)

prune44.0ms (0.7%)

regimes28.0ms (0.5%)

regimes8.0ms (0.1%)

regimes11.0ms (0.2%)

regimes12.0ms (0.2%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch7.0ms (0.1%)

bsearch20.0ms (0.3%)

bsearch17.0ms (0.3%)

simplify57.0ms (0.9%)

soundness1.0s (17.1%)

preprocess58.0ms (0.9%)

end0.0ms (0%)

Profiling